Question

Квадрат суммы и квадрат разности
1. (M^2+2)^2=
2.(2x+y^2)^3=

Answer 1

$1\; \; (m^2+2)^2=m^4+4m^2+4\\\\2)\; \; (2x+y^2)^3=8x^3+3\cdot 4x^2\cdot y^2+3\cdot 2x\cdot y^4+y^6=\\\\=8x^3+12x^2y^2+6xy^4+y^6$

Answer 2

(m²+2)²=(m²)²+2*m²*2+2²=m^4+4m²+4
(2x+y²)³=(2x)³+3*(2x)²*y²+3*2x*(y²)²+(y²)³=
=8x³+12x²y²+6xy^4+y6